Below are listed rank-two temperaments supported by the 12et patent val, below the indicated cutoff in TE badness.

5-limit temperaments with badness below 0.1

Listed is the wedgie and the TE badness times 1000 for six temperaments with badness less than 0.1.

Rank	Wedgie	Name	Badness	Commas
1	<<12 -84 -161]]	Atomic	3.802	|161 -84 -12>
2	<<1 -8 -15]]	Helmholtz	4.259	32805/32768
3	<<1 4 4]]	Meantone	7.381	81/80
4	<<2 -4 -11]]	Srutal	19.915	2048/2025
5	<<3 0 -7]]	Augmented	22.315	128/125
6	<<4 4 -3]]	Diminished	47.231	648/625

7-limit temperaments with badness below 0.06

Listed is the wedgie and the TE badness times 1000 for 18 temperaments with badness less than 0.06.

Rank	Wedgie	Name	Badness	Commas
1	<<1 4 10 4 13 12]]	Meantone	13.707	81/80 126/125
2	<<3 -24 -54 -45 -94 -58]]	Term	19.950	32805/32768 250047/250000
3	<<2 -4 -4 -11 -12 2]]	Pajara	20.033	50/49 64/63
4	<<1 4 -2 4 -6 -16]]	Dominant	20.690	36/35 64/63
5	<<1 -8 -14 -15 -25 -10]]	Garibaldi	21.644	225/224 3125/3087
6	<<4 4 4 -3 -5 -2]]	Diminished	22.401	36/35 50/49
7	<<3 0 -6 -7 -18 -14]]	Augene	24.816	64/63 126/125
8	<<3 0 6 -7 1 14]]	August	26.459	36/35 128/125
9	<<2 8 8 8 7 -4]]	Injera	31.130	50/49 81/80
10	<<0 12 24 19 38 22]]	Compton/Waage	35.686	225/224 250047/250000
11	<<3 -12 -30 -26 -56 -36]]	Misty	36.802	3136/3125 5120/5103
12	<<2 -4 -16 -11 -31 -26]]	Diaschismic	37.914	126/125 2048/2025
13	<<0 0 12 0 19 28]]	Catler	50.297	81/80 128/125
14	<<2 -16 -40 -30 -69 -48]]	Bischismic	54.744	3136/3125 32805/32768
15	<<4 -8 -20 -22 -43 -24]]	Bidia	56.474	2048/2025 3136/3125
16	<<1 -8 -2 -15 -6 18]]	Schism	56.648	64/63 360/343
17	<<6 0 0 -14 -17 0]]	Hexe	57.730	50/49 128/125
18	<<5 8 2 1 -11 -18]]	Ripple	59.735	36/35 2560/2401

11-limit temperaments with badness below 0.05

Listed is the wedgie and the TE badness times 1000 for 40 temperaments with badness less than 0.05.

Rank	Wedgie	Name	Badness	Commas
1	<<1 4 10 18 4 13 25 12 28 16]]	Meantone	17.027	81/80 99/98 126/125
2	<<3 0 -6 -6 -7 -18 -20 -14 -14 4]]	Augene	19.613	56/55 64/63 100/99
3	<<3 0 6 6 -7 1 -1 14 14 -4]]	August	20.191	36/35 45/44 56/55
4	<<2 -4 -4 -12 -11 -12 -26 2 -14 -20]]	Pajara	20.343	50/49 64/63 99/98
5	<<1 4 10 6 4 13 6 12 0 -18]]	Meanenneadecal	21.423	45/44 56/55 81/80
6	<<1 4 -2 6 4 -6 6 -16 0 24]]	Domineering	21.978	36/35 45/44 64/63
7	<<4 4 4 0 -3 -5 -14 -2 -14 -14]]	Diminished	22.132	36/35 50/49 56/55
8	<<0 12 24 36 19 38 57 22 42 18]]	Compton	22.235	225/224 441/440 4375/4356
9	<<2 8 8 12 8 7 12 -4 0 6]]	Injera	23.124	45/44 50/49 99/98
10	<<1 -8 -14 -18 -15 -25 -32 -10 -14 -2]]	Cassandra	23.556	100/99 225/224 245/242
11	<<2 -4 -4 0 -11 -12 -7 2 14 14]]	Pajaric	23.798	45/44 50/49 56/55
12	<<1 4 -2 -6 4 -6 -13 -16 -28 -10]]	Dominant	24.18	36/35 56/55 64/63
13	<<2 -4 -16 -24 -11 -31 -45 -26 -42 -12]]	Diaschismic	25.034	126/125 176/175 5488/5445
14	<<4 4 4 12 -3 -5 5 -2 14 20]]	Demolished	26.574	36/35 45/44 50/49
15	<<2 -16 -40 -60 -30 -69 -102 -48 -84 -30]]	Bischismic	28.160	441/440 3136/3125 8019/8000
16	<<0 0 0 12 0 0 19 0 28 34]]	Duodecim	30.536	36/35 50/49 64/63
17	<<0 0 12 12 0 19 19 28 28 -8]]	Catcall	34.478	56/55 81/80 128/125
18	<<4 -20 -44 -72 -41 -81 -128 -46 -98 -50]]		34.837	1375/1372 5120/5103 5632/5625
19	<<1 -8 -14 -30 -15 -25 -51 -10 -42 -36]]		35.637	99/98 176/175 3125/3087
20	<<3 -12 -30 -42 -26 -56 -77 -36 -56 -14]]		35.932	441/440 3136/3125 4375/4356
21	<<1 -8 -2 -6 -15 -6 -13 18 14 -10]]		37.482	45/44 64/63 99/98
22	<<2 8 20 24 8 26 31 24 28 -2]]		38.122	81/80 126/125 245/242
23	<<6 0 0 0 -14 -17 -21 0 0 0]]		38.412	50/49 56/55 125/121
24	<<5 8 2 6 1 -11 -8 -18 -14 10]]		38.811	36/35 80/77 126/121
25	<<3 0 6 -6 -7 1 -20 14 -14 -38]]		39.764	36/35 80/77 128/125
26	<<4 -8 -20 -36 -22 -43 -71 -24 -56 -32]]		40.191	176/175 896/891 1375/1372
27	<<5 8 14 18 1 8 11 10 14 2]]		40.347	45/44 99/98 126/125
28	<<5 -4 -10 -18 -18 -30 -46 -12 -28 -16]]		40.809	64/63 100/99 1375/1372
29	<<3 0 -6 -18 -7 -18 -39 -14 -42 -30]]		40.832	64/63 99/98 126/125
30	<<2 8 8 0 8 7 -7 -4 -28 -28]]		43.062	50/49 56/55 81/77
31	<<3 0 -6 6 -7 -18 -1 -14 14 38]]		44.048	45/44 64/63 126/125
32	<<4 -32 -68 -108 -60 -119 -185 -68 -140 -68]]		45.738	1375/1372 6250/6237 496125/495616
33	<<3 12 18 30 12 20 37 8 28 22]]		46.794	81/80 99/98 625/616
34	<<2 -4 8 0 -11 7 -7 30 14 -28]]		47.882	36/35 45/44 128/121
35	<<2 -4 -16 -12 -11 -31 -26 -26 -14 22]]		48.070	56/55 100/99 2048/2025
36	<<2 -16 -28 -48 -30 -50 -83 -20 -56 -38]]		48.712	225/224 2420/2401 3125/3087
37	<<2 8 8 24 8 7 31 -4 28 40]]		48.739	50/49 81/80 176/175
38	<<1 -8 -26 -42 -15 -44 -70 -38 -70 -28]]		48.887	126/125 176/175 539055/537824
39	<<1 16 34 54 23 51 82 34 70 34]]		49.725	225/224 441/440 78408/78125
40	<<7 4 10 6 -10 -4 -15 12 0 -18]]		49.914	36/35 56/55 125/121